85604 has 6 divisors (see below), whose sum is σ = 149814. Its totient is φ = 42800.

The previous prime is 85601. The next prime is 85607. The reversal of 85604 is 40658.

It is an interprime number because it is at equal distance from previous prime (85601) and next prime (85607).

It can be written as a sum of positive squares in only one way, i.e., 62500 + 23104 = 250^2 + 152^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 85604.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85604.

It is not an unprimeable number, because it can be changed into a prime (85601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10697 + ... + 10704.

It is an arithmetic number, because the mean of its divisors is an integer number (24969).

2⁸⁵⁶⁰⁴ is an apocalyptic number.

It is an amenable number.

85604 is a deficient number, since it is larger than the sum of its proper divisors (64210).

85604 is a wasteful number, since it uses less digits than its factorization.

85604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21405 (or 21403 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 85604 is about 292.5816125460. The cubic root of 85604 is about 44.0721955258.

The spelling of 85604 in words is "eighty-five thousand, six hundred four".